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- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

### Keywords

xbox Knaster weak square Souslin Tree 20M14 PFA(S)[S] Rainbow sets coloring number Rock n' Roll Singular cardinals combinatorics Ostaszewski square Minimal Walks Hedetniemi's conjecture Singular coﬁnality Fodor-type reflection stationary reflection Axiom R sap L-space Microscopic Approach Erdos-Hajnal graphs reflection principles weak diamond stationary hitting Successor of Singular Cardinal Parameterized proxy principle Antichain free Boolean algebra 05A17 Almost Souslin Prikry-type forcing incompactness projective Boolean algebra Small forcing OCA Aronszajn tree tensor product graph Singular Density Almost countably chromatic Fast club Selective Ultrafilter Partition Relations Hindman's Theorem Nonspecial tree b-scale Luzin set HOD Almost-disjoint famiy Ascent Path Successor of Regular Cardinal diamond star Cardinal Invariants P-Ideal Dichotomy middle diamond Postprocessing function Martin's Axiom Chromatic number Square-Brackets Partition Relations Large Cardinals square principles approachability ideal PFA S-Space Reduced Power Jonsson cardinal Shelah's Strong Hypothesis Mandelbrot set Universal Sequences Non-saturation Cohen real Whitehead Problem Constructible Universe Club Guessing Poset Uniformization Kurepa Hypothesis polarized partition relation Prevalent singular cardinals Dushnik-Miller ccc Distributive tree Stevo Todorcevic Weakly compact cardinal Diamond Erdos Cardinal Foundations Slim tree Sakurai's Bell inequality Absoluteness very good scale Fat stationary set Hereditarily Lindelöf space Commutative cancellative semigroups Rado's conjecture 11P99 Cardinal function Coherent tree 05D10 Forcing Axioms square Generalized Clubs Forcing Uniformly coherent Chang's conjecture

# Tag Archives: 03E50

## Jensen’s diamond principle and its relatives

This is chapter 6 in the book Set Theory and Its Applications (ISBN: 0821848127). Abstract: We survey some recent results on the validity of Jensen’s diamond principle at successor cardinals. We also discuss weakening of this principle such as club … Continue reading